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5x-2=7+x+1
Combine 3x and 2x to get 5x.
5x-2=8+x
Add 7 and 1 to get 8.
5x-2-x=8
Subtract x from both sides.
4x-2=8
Combine 5x and -x to get 4x.
4x=8+2
Add 2 to both sides.
4x=10
Add 8 and 2 to get 10.
x=\frac{10}{4}
Divide both sides by 4.
x=\frac{5}{2}
Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.